Kelvin–Voigt Equations with a Discontinuous Density Profile.
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| Title: | Kelvin–Voigt Equations with a Discontinuous Density Profile. |
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| Authors: | Antontsev, S. N.1 (AUTHOR) antontsevsn@mail.ru, Kuznetsov, I. V.1,2 (AUTHOR) kuznetsov_i@hydro.nsc.ru |
| Source: | Journal of Applied Mechanics & Technical Physics. Feb2025, Vol. 66 Issue 1, p89-99. 11p. |
| Subjects: | Dirac function, Density, Acceleration (Mechanics), Dynamic viscosity, Complex fluids, Conservation of mass, Non-equilibrium reactions |
| Abstract: | Kelvin–Voigt equations for inhomogeneous fluids with a singular right side are studied. A singular term that approximates the Dirac delta function on an initially infinitely thin layer is introduced into the right side of a mass balance equation. This singular term is similar to the relaxation term used to describe nonequilibrium processes in hydrodynamics. In an extreme case, when a small parameter, namely, the characteristic size of the initial layer, tends to zero, the density and velocity at the initial time change abruptly. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| Abstract: | Kelvin–Voigt equations for inhomogeneous fluids with a singular right side are studied. A singular term that approximates the Dirac delta function on an initially infinitely thin layer is introduced into the right side of a mass balance equation. This singular term is similar to the relaxation term used to describe nonequilibrium processes in hydrodynamics. In an extreme case, when a small parameter, namely, the characteristic size of the initial layer, tends to zero, the density and velocity at the initial time change abruptly. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 00218944 |
| DOI: | 10.1134/S0021894425010018 |
